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Finding the Fourth Proportional to 535.79, 798.09 and 529.40

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Solution

The fourth proportional to 535.79, 798.09 and 529.40 is: 788.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.79 : 798.09 = 529.40 : x
  2. Step 2: Convert to fraction form
    535.79/798.09 = 529.40/x
  3. Step 3: Cross multiply
    535.79x = 798.09 × 529.40
  4. Step 4: Simplify right side
    535.79x = 422,506.20
  5. Step 5: Solve for x
    x = 422,506.20/535.79
  6. Step 6: Final answer
    x = 788.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.